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Finding the Fourth Proportional to 150,109.50, 207,151.92 and 82,127.28

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Solution

The fourth proportional to 150,109.50, 207,151.92 and 82,127.28 is: 113,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,109.50 : 207,151.92 = 82,127.28 : x
  2. Step 2: Convert to fraction form
    150,109.50/207,151.92 = 82,127.28/x
  3. Step 3: Cross multiply
    150,109.50x = 207,151.92 × 82,127.28
  4. Step 4: Simplify right side
    150,109.50x = 17,012,823,736.38
  5. Step 5: Solve for x
    x = 17,012,823,736.38/150,109.50
  6. Step 6: Final answer
    x = 113,336.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.